Step-by-step explanation:
find the coordinate of the foot of the perpendicular from(4,-2) to the line 2x-3y-4=0
Answer
:=5
Step-by-step explanation:
Given:
The three exterior angles of a pentagon measures 60,80 and 90.
To find:
The measure of other two exterior angle, assuming them equally.
Solution:
Let x be the measure of two other exterior angles of the pentagon.
We know that the sum of all exterior angles of a pentagon is 360 degrees.
![60^\circ+80^\circ+90^\circ+x+x=360^\circ](https://tex.z-dn.net/?f=60%5E%5Ccirc%2B80%5E%5Ccirc%2B90%5E%5Ccirc%2Bx%2Bx%3D360%5E%5Ccirc)
![230^\circ+2x=360^\circ](https://tex.z-dn.net/?f=230%5E%5Ccirc%2B2x%3D360%5E%5Ccirc)
![2x=360^\circ-230^\circ](https://tex.z-dn.net/?f=2x%3D360%5E%5Ccirc-230%5E%5Ccirc)
![2x=130^\circ](https://tex.z-dn.net/?f=2x%3D130%5E%5Ccirc)
Divide both sides by 2.
![\dfrac{2x}{2}=\dfrac{130^\circ}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B2x%7D%7B2%7D%3D%5Cdfrac%7B130%5E%5Ccirc%7D%7B2%7D)
![x=65^\circ](https://tex.z-dn.net/?f=x%3D65%5E%5Ccirc)
Therefore, the measures of both exterior angles are 65 degrees.
Answer:
1,2,4,7,8,14,16,28,56,112
Step-by-step explanation:
12 is a composite number. 112 = 1 x 112, 2 x 56, 4 x 28, 7 x 16, or 8 x 14
From the Special Triangle Theorem, the hypotenuse is equal to the side lengtht times the Sqrt(2).
So hypotenuse H = xSqrt(2), x=H/Sqrt(2).
Using numbers, if H = 7, then x = 7/Sqrt(2) = 7Sqrt(2)/2 to rationalize it.